Issue |
EPL
Volume 97, Number 1, February 2012
|
|
---|---|---|
Article Number | 14007 | |
Number of page(s) | 4 | |
Section | Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics | |
DOI | https://doi.org/10.1209/0295-5075/97/14007 | |
Published online | 04 January 2012 |
Capillary-gravity waves on depth-dependent currents: Consequences for the wave resistance
Laboratoire PCT - UMR Gulliver CNRS 7083, ESPCI - 10 rue Vauquelin, 75005 Paris, France, EU
Received:
5
September
2011
Accepted:
25
November
2011
We study theoretically the capillary-gravity waves created at the water-air interface by a small two-dimensional perturbation in the frequently encountered case where a depth-dependent current is present in the fluid. Assuming linear wave theory, we derive a general expression of the wave resistance experienced by the perturbation as a function of the current profile in the case of an inviscid fluid. We then illustrate the use of this expression in the case of constant vorticity.
PACS: 47.35.-i – Hydrodynamic waves / 68.03.-g – Gas-liquid and vacuum-liquid interfaces
© EPLA, 2012
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